Noncommutative geometry and number theory: where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn
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| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wiesbaden
Vieweg
2006
|
| Edition: | 1. ed. |
| Series: | Aspects of mathematics E
37 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | VIII, 372 S. 24 cm |
| ISBN: | 3834801704 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface v
The Hecke algebra of a reductive p adic group: a view from noncommutative
geometry
Anne Marie Aubert, Paul Baum, Roger Plymen 1
Hilbert modular forms and the Ramanujan conjecture
Don Blasius 35
Farey fractions and two dimensional tori
Florin P. Boca and Alexandru Zaharescu 57
Transgression of the Godbillon Vey class and Rademacher functions
Alain Connes and Henri Moscovici 79
Archimedean cohomology revisited
Caterina Consani and Matilde Marcolli 109
A twisted Burnside theorem for countable groups and Reidemeister numbers
Alexander Fel shtyn and Evgenij Troitsky 141
Introduction to Hopf cyclic cohomology
Masoud Khalkhali and Bahran Rangipour 155
The non abelian (or non linear) method of Chabauty
Minhyong Kim 179
The residues of quantum field theory numbers we should know
Dirk Kreimer 187
Phase transitions with spontaneous symmetry breaking on Hecke C* algebras
from number fields
Marcelo Laca and Machiel van Frankenhuusen 205
On harmonic maps in noncommutative geometry
Giovanni Landi 217
Towards the fractional quantum Hall effect: a noncommutative geometry
perspective
Matilde Marcolli and Varghese Mathai 235
Homological algebra for Schwartz algebras of reductive p adic groups
Ralph Meyer 263
viii CONTENTS
A non commutative geometry approach to the representation theory of
reductive p adic groups: Homology of Hecke algebras, a survey and some new
results
Victor Nistor 301
Three examples of non commutative boundaries of Shimura varieties
Frederic Paugam 323
Holomorphic bundles on 2 dimensional noncommutative toric orbifolds
Alexander Polishchuk 341
A new short proof of the local index formula of Atiyah Singer
Raphael Ponge 361
|
| adam_txt |
Contents
Preface v
The Hecke algebra of a reductive p adic group: a view from noncommutative
geometry
Anne Marie Aubert, Paul Baum, Roger Plymen 1
Hilbert modular forms and the Ramanujan conjecture
Don Blasius 35
Farey fractions and two dimensional tori
Florin P. Boca and Alexandru Zaharescu 57
Transgression of the Godbillon Vey class and Rademacher functions
Alain Connes and Henri Moscovici 79
Archimedean cohomology revisited
Caterina Consani and Matilde Marcolli 109
A twisted Burnside theorem for countable groups and Reidemeister numbers
Alexander Fel'shtyn and Evgenij Troitsky 141
Introduction to Hopf cyclic cohomology
Masoud Khalkhali and Bahran Rangipour 155
The non abelian (or non linear) method of Chabauty
Minhyong Kim 179
The residues of quantum field theory numbers we should know
Dirk Kreimer 187
Phase transitions with spontaneous symmetry breaking on Hecke C* algebras
from number fields
Marcelo Laca and Machiel van Frankenhuusen 205
On harmonic maps in noncommutative geometry
Giovanni Landi 217
Towards the fractional quantum Hall effect: a noncommutative geometry
perspective
Matilde Marcolli and Varghese Mathai 235
Homological algebra for Schwartz algebras of reductive p adic groups
Ralph Meyer 263
viii CONTENTS
A non commutative geometry approach to the representation theory of
reductive p adic groups: Homology of Hecke algebras, a survey and some new
results
Victor Nistor 301
Three examples of non commutative boundaries of Shimura varieties
Frederic Paugam 323
Holomorphic bundles on 2 dimensional noncommutative toric orbifolds
Alexander Polishchuk 341
A new short proof of the local index formula of Atiyah Singer
Raphael Ponge 361 |
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| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| edition | 1. ed. |
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| physical | VIII, 372 S. 24 cm |
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| series | Aspects of mathematics E |
| series2 | Aspects of mathematics : E |
| spelling | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn Caterina Consani ; Matilde Marcolli (ed.) 1. ed. Wiesbaden Vieweg 2006 VIII, 372 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Aspects of mathematics : E Vol. 37 Literaturangaben Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Nichtkommutative Geometrie (DE-588)4171742-9 s Arithmetische Geometrie (DE-588)4131383-5 s DE-604 Consani, Caterina 1963- (DE-588)131567977 edt Max-Planck-Institut für Mathematik Sonstige (DE-588)2079176-8 oth Aspects of mathematics E 37 (DE-604)BV000018737 37 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2778441&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016216121&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn Aspects of mathematics E Arithmetische Geometrie (DE-588)4131383-5 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| subject_GND | (DE-588)4131383-5 (DE-588)4171742-9 (DE-588)4143413-4 |
| title | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn |
| title_auth | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn |
| title_exact_search | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn |
| title_exact_search_txtP | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn |
| title_full | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn Caterina Consani ; Matilde Marcolli (ed.) |
| title_fullStr | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn Caterina Consani ; Matilde Marcolli (ed.) |
| title_full_unstemmed | Noncommutative geometry and number theory where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn Caterina Consani ; Matilde Marcolli (ed.) |
| title_short | Noncommutative geometry and number theory |
| title_sort | noncommutative geometry and number theory where arithmetic meets geometry and physics a publication of the max planck institute for mathematics bonn |
| title_sub | where arithmetic meets geometry and physics ; a publication of the Max Planck Institute for Mathematics, Bonn |
| topic | Arithmetische Geometrie (DE-588)4131383-5 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| topic_facet | Arithmetische Geometrie Nichtkommutative Geometrie Aufsatzsammlung |
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